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Finding the Third Proportional to 212,811 and 463,422

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Solution

The third proportional to 212,811 and 463,422 is: 1,009,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,811 : 463,422 = 463,422 : x
  2. Step 2: Convert to fraction form
    212,811/463,422 = 463,422/x
  3. Step 3: Cross multiply
    212,811x = 463,422 × 463,422
  4. Step 4: Simplify right side
    212,811x = 214,759,950,084
  5. Step 5: Solve for x
    x = 214,759,950,084/212,811
  6. Step 6: Final answer
    x = 1,009,158.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.